• 제목/요약/키워드: nodal stress

검색결과 125건 처리시간 0.021초

모멘트-곡률 관계에 기초한 반복하중을 받는 철근콘크리트 보의 비선형 해석 (Nonlinear Analysis of RC Beams under Cyclic Loading Based on Moment-Curvature Relationship.)

  • 곽효경;김선필
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 가을 학술발표회논문집
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    • pp.190-197
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    • 2000
  • A moment-curvature relationship to simulate the behavior of reinforced concrete beam under cyclic loading is introduced. Unlike previous moment-curvature models and the layered section approach, the proposed model takes into consideration the bond-slip effect by using monotonic moment-curvature relationship constructed on the basis of the bond-slip relation and corresponding equilibrium equation at each nodal point. In addition, the use of curved unloading and reloading branches inferred from the stress-strain relation of steel gives more exact numerical result. The advantages of the proposed model, comparing to layered section approach, may be on the reduction in calculation time and memory space in case of its application to large structures. The modification of the moment-curvature relation to reflect the fixed-end rotation and pinching effect is also introduced. Finally, correlation studies between analytical results and experimental studies are conducted to establish the validity of the proposed model.

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반복하중을 받는 RC기둥의 비선형 해석을 위한 모멘트-곡률 관계의 개발 (Nonlinear Analysis of RC Columns under Cyclic Loading Based on Moment-Curvature Relationship)

  • 곽효경;김선필
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 봄 학술발표회 논문집
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    • pp.3-11
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    • 2002
  • A moment-curvature relationship to simulate the behavior of reinforced concrete (RC) columns under cyclic loading is introduced. Unlike previous moment-curvature models and the layered section approach, the unposed model takes into account the bond-slip effect by using a monotonic moment-curvature relationship constructed on the basis of the bond-slip relation and corresponding equilibrium equation at each nodal point. In addition, the use of curved unloading and reloading branches inferred from the stress-strain relation of steel gives more exact numerical result. The pinching enact caused by axial force is considered with an assumption that the absorbing energy corresponding to any deformation level maintains constant regardless of the magnitude of applied axial force. The advantages of the proposed model, comparing tn layered section approach, may be on the reduction in calculation time and memory space in case of its application to large structures.. Finally, correlation studies between analytical results and experimental studies are conducted to establish the validity of the proposed mood.

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비선형 이론을 이용한 케이블 네트의 형태안정 (A shape finding of cable net by nonlinear theory)

  • 황보석;서삼열;권택진
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1990년도 봄 학술발표회 논문집
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    • pp.59-64
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    • 1990
  • The cable structures undergo large deformation because of its highly flexibility. Therefore, we must take account of its geometric nonlinearity before analysis and find the equiribrated shape of cable structures. To solve these problems, a numerical procedures included nonlinear near theory which is applicable to general cable net, flexible transmission lines and suspended cable roofs, are presented in this paper. Now, this procedures are devided two parts : the one is to obtain the equibrated shape and stress of the cable structures applied uniform load by flexibility iteration method, the other is to analysis the equibrated structures subjected to nodal external forces by nonlinear finite element mothed. Its accuracy and efficiency are found to be comparable to some of other method and, in some aspect, it is mere applicable to cable structures.

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GEOMETRICALLY AND MATERIALLY NONLINEAR ANALYSIS FOR A COMPOSITE PRESSURE VESSEL

  • 도영대;김형근
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 1995년도 제4회 학술강연회논문집
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    • pp.141-153
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    • 1995
  • An incremental Total Lagrangian Formulation is implemented for the finite element analysis of laminated composite pressure vessel with consideration of the material and geometric nonlinearities. For large displacements/large rotations due to geometric nonlinearities, the incremental equations are derived using a quadratic approximation for the increment of the reference vectors in terms of the nodal rotation increments. This approach leads to a complete tangent stiffness matrix. For material nonlinearity, the analysis is performed by using the piecewise linear method, taking account of the nonlinear shear stress-strain relation. The results of numerical tests include the large deflection behavior of the selected composite shell problem. When compared with the previous analysis, tile results are in good agreement with them. As a practical example, filament wound pressure vessel is analyzed with consideration of the geometrically and materially nonlinearity. The numerical results agree fairly well with the existing experimental results.

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유한요소법을 이용한 전자기력 계산방법의 비교 (Comparison of Force Calculation Methods in Finite Element Method)

  • ;류재섭;고창섭
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 추계학술대회 논문집 전기기기 및 에너지변환시스템부문
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    • pp.100-103
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    • 2001
  • The magnetic force calculation methods, the Maxwell's stress tensor method, virtual work method, and nodal force method are reviewed. The methods are applied to the magnetic force calculation of 2D linear and nonlinear Problems. As the results the convergence of the methods as the number of elements increases, accuracy of the methods, and integral path dependence of the methods are discussed. Finally some recommendations on the usage of the methods, including the determination of the integral path, are given.

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교합하중이 치경부 응력분포에 미치는 영향에 관한 3차원 유한요소법적 연구 (Effects of occlusal load on the cervical stress distribution: A three-dimensional finite element study)

  • 이형모;허복;김현철;우성관;김광훈;송권;박정길
    • Restorative Dentistry and Endodontics
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    • 제31권6호
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    • pp.427-436
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    • 2006
  • 본 연구의 목적은 3차원유한요소분석법을 이용하여 정상 상악 제2소구치의 협측부의 응력분포에 다양한 교합응력이 미치는 영향을 평가하고자 하였다. 상악 제2소구치의 3차원유한요소모델을 형성한 후 형성된 모델에 3종류의 정적인 500N 점하중의 응력조건을 부여하였다. ANSYS 프로그램 (Swanson Analysis Systems, Inc., Houston, USA)으로 최대주응력과 최소주응력을 4개의 수평면 상(CEJ 상방 1 mm, CEJ 상방 0.5 mm, CEJ, CEJ 하방 0.5 mm)에서 분석하여 다음 결과를 얻었다. 1. peak stress가 협측 백악법랑경계를 따라 비대칭적인 모습으로 나타났다. 2. 압축응력 값은 법랑질의 압축파괴응력 범위 내에 있었지만 인장응력은 법랑질의 인장파괴응력 범위를 넘어섰다. 3. 비우식성치경부병소를 발생시키는 주요인은 설측교두의 협측경사면에 가해지는 교합압에 의한 인장응력이라고 보여진다.

아말감 와동의 파절에 관한 3차원 유한요소법적 연구 (A STUDY ON AMALGAM CAVITY FRACTURE WITH THREE DIMENSIONAL FINITE ELEMENT METHOD)

  • 김한욱;엄정문;이정식
    • Restorative Dentistry and Endodontics
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    • 제19권2호
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    • pp.345-371
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    • 1994
  • Restorative procedures can lead to weakening tooth due to reduction and alteraton of tooth structure. It is essential to prevent fractures to conserve tooth. Among the several parameters in cavity designs, cavity isthmus and depth are very important. In this study, MO amalgam cavity was prepared on maxillary first premolar. Three dimensional. finite element models were made by serial photographic method and cavity depth(1.7mm, 2.4mm) and isthmus (11 4, 1/3, 1/2 of intercuspal distance) were varied. linear, eight and six-nodal, isoparametric brick elements were used for the three dimensional finite element model. The periodontal ligament and alveolar bone surrounding the tooth were excluded in these models. Three types model(B, G and R model) were developed. B model was assumed perfect bonding between the restoration and cavity wall. Both compressive and tensile forces were distributed directly to the adjacent regions. G model(Gap Distance: 0.000001mm) was assumed the possibility of play at the interface simulated the lack of real bonding between the amalgam and cavity wall (enamel and dentin). When compression occurred along the interface, the forces were transferred to the adjacent regions. However, tensile forces perpendicular to the interface were excluded. R model was assumed non-connection between the restoration and cavity wall. No force was transferred to the adjacent regions. A load of 500N was applied vertically at the first node from the lingual slope of the buccal cusp tip. This study analysed the displacement, von Mises stress, 1 and 2 direction normal stress and strain with FEM software ABAQUS Version 5.2 and hardware IRIS 4D/310 VGX Work-station. The results were as follows: 1. G model showed stress and strain patterns between Band R model. 2. B model and G model showed the bending phenomenon in the displacement. 3. R model showed the greatest amount of the displacement of the buccal cusp followed by G and B model in descending order. G model showed the greatest amount of the displacement of the lingual cusp followed by B and R model in descending order. 4. B model showed no change of the displacement as increasing depth and width of the cavity. G and R model showed greater displacement of the buccal cusp as increasing depth and width of the cavity, but no change in the displacement of the lingual cusp. 5. As increasing of the width of the cavity, stress and strain were not changed in B model. Stress and strain were increased on the distal marginal ridge and buccopulpal line angle in G and R model. The possibility of the tooth fracture was increased. 6. As increasing of the depth of the cavity, stress and strain were not changed in B and G model. Stress and strain were increased on the distal marginal ridge and buccopulpal line angle in R model. The possibility of the tooth fracture was increased.

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축방향 압축을 받는 다각형 단면 쉘 기둥구조의 국부좌굴강도에 관한 해석적 연구 (Finite Element Analyses on Local Buckling Strength of Polygonal-Section Shell Towers)

  • 박성미;최병호
    • 한국산학기술학회논문지
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    • 제13권4호
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    • pp.1900-1907
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    • 2012
  • 일반적으로 활용되고 있는 원통형 단면쉘 구조로 이루어진 타워구조의 대형화에 한계가 있어 다각형 단면쉘 기둥구조의 활용이 대두되고 있다. 현재 대형 다각형 단면쉘 기둥구조의 국부좌굴강도에 대한 자료가 충분치 않고 관련 기준이나 지침이 명확히 제시되고 있지 않은 실정이다. 이에 3차원 유한요소프로그램인 ABAQUS를 이용한 다양한 변수해석 모델을 수립하여 탄성좌굴 및 비선형비탄성 변수해석을 수행하였다. 이 때, 단면제원은 대형 풍력발전타워 기둥구조에 적용하는 것을 가정하여 선정하였고, 다각형의 각형 수, 잔류응력의 크기 및 분포특성, 강재 항복강도 등의 변수를 고려한 해석결과를 토대로 다각형 단면쉘 기둥구조의 국부좌굴 특성을 분석하였다. 본 변수해석 연구결과로부터 세부적인 잔류응력 분포양상 보다는 잔류응력의 최대크기가 축방향 압축을 받는 다각형 쉘의 국부좌굴강도에 중요한 영향인자인 것을 알 수 있다. 다각형 단면 쉘 구조의 국부좌굴강도는 4변 단순지지된 평판구조의 기준을 적용하여 평가할 수 있을 것으로 판단된다.

구조물 형상최적화를 위한 근사해석법에 관한 연구 (An Approximation Method for Configuration Optimization of Structures)

  • 장동진;한상훈
    • 대한토목학회논문집
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    • 제10권3호
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    • pp.7-17
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    • 1990
  • 본 연구에서는 트러스구조와 아치구조의 부재단면적 및 기하형상을 동시에 최적화하는 효율적인 근사화 방법을 제안하고자 한다. 설계과정 중, 트러스구조에 대해서는 응력제약조건 및 좌굴응력제약조건을 만족하도록 하고, 아치구조에 대해서는 조합응력 제약조건을 만족하도록 하였다. 최적화에 필요한 구조해석의 수를 줄이기 위해 Force Approximation Method를 사용하였다. 초기치에 대한 유한요소해석이 수행된 다음 설계변수인 부재단면적과 절점좌표들에 대한 부재단면력들의 경사를 계산하였고, 그 경사정보를 이용 부재단면력들의 1차 Taylor급수 전개에 근거를 둔 근사구조 해석을 형성하였다. 이동한계법을 적용하였으며, 근사구조해석으로 부터 얻어진 정보에 의해 구조물의 체적을 최소화 하였다. 형상최적화를 위한 제안된 본 방법의 효율성과 신뢰성을 보이기 위해 수치예를 들어 다른 방법들에 의한 결과와 비교하였다. 그 결과 구조해석의 수를 크게 감소시킬 수 있었으며, 구조물 형상최적화에 매우 효율적으로 적용될 수 있음을 알게 되었다.

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재생된 골에 식립한 넓은 직경의 나사형 임플란트에 대한 유한요소법적 분석 (FINITE ELEMENT ANALYSIS OF WIDE DIAMETER SCREW IMPLANT PLACED INTO REGENERATED BONE)

  • 김수관;김재덕;김종관;김병옥
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • 제31권3호
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    • pp.248-254
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    • 2005
  • The purpose of this study was to investigate the distribution of stress within the regenerated bone surrounding the implant using three dimensional finite element stress analysis method. Using ANSYS software revision 6.0 (IronCAD LLC, USA), a program was written to generate a model simulating a cylindrical block section of the mandible 20 mm in height and 10 mm in diameter. The $5.0{\times}11.5-mm$ screw implant (3i, USA) was used for this study, and was assumed to be 100% osseointegrated. And it was restored with gold crown with resin filling at the central fossa area. The implant was surrounded by the regenerated type IV bone, with 4 mm in width and 7 mm apical to the platform of implant in length. And the regenerated bone was surrounded by type I, type II, and type III bone, respectively. The present study used a fine grid model incorporating elements between 250,820 and 352,494 and nodal points between 47,978 and 67,471. A load of 200N was applied at the 3 points on occlusal surfaces of the restoration, the central fossa, outside point of the central fossa with resin filling into screw hole, and the functional cusp, at a 0 degree angle to the vertical axis of the implant, respectively. The results were as follows: 1. The stress distribution in the regenerated bone-implant interface was highly dependent on both the density of the native bone surrounding the regenerated bone and the loading point. 2. A load of 200N at the buccal cusp produced 5-fold increase in the stress concentration at the neck of the implant and apex of regenerated bone irrespective of surrounding bone density compared to a load of 200N at the central fossa. 3. It was found that stress was more homogeneously distributed along the side of implant when the implant was surrounded by both regenerated bone and native type III bone. In summary, these data indicate that concentration of stress on the implant-regenerated bone interface depends on both the native bone quality surrounding the regenerated bone adjacent to implant and the load direction applied on the prosthesis.